Dice and Card Math Games Document
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6 Dice Game Mental Math & Operations • No Scorecard Needed!
Six-Dice Knockout
Gear: Exactly 6 Dice
1 Roll All 6 Dice
Roll all 6 dice together in the center. Both players take turns using the dice rolled.
2 Combine to Claim
Use any 2 or 3 dice with \( +, -, \times, \div \) to make a number on the board. (E.g. \( 5 \times 3 = 15 \)).
3 Claim 4-in-a-Row!
Write your initials or place a counter on that number. First player with 4 in a row wins!
Example: Rolled: [6] [4] [3] [2] [2] [1] \(\rightarrow\) Make \( 6 \times 3 = 18 \) (Claim 18!) OR \( 4 + 2 + 1 = 7 \) (Claim 7!) Play: 2 Players (X vs O)
The Knockout Arena (Claim with your initials or token)
Player 1: ⭕ Circles Player 2: ❌ Crosses
1 e.g. 4 − 3
2 e.g. 6 ÷ 3
3 e.g. 5 − 2
4 e.g. 2 + 2
5 e.g. 3 + 2
6 e.g. 3 × 2
7 e.g. 4 + 3
8 e.g. 4 × 2
9 e.g. 3 × 3
10 e.g. 5 × 2
11 e.g. 6 + 5
12 e.g. 4 × 3
15 e.g. 5 × 3
16 e.g. 4 × 4
18 e.g. 6 × 3
20 e.g. (5 × 4)
24 e.g. 6 × 4
25 e.g. 5 × 5
30 e.g. 6 × 5
36 e.g. 6 × 6
💡 Pro Tip: Block your opponent by claiming numbers they need to connect 4 in a line! Page 1 • Six-Dice Knockout
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Cards Only Game Integers & Number Line • No Scorecard Needed!
Integer Card War
Gear: 1 Deck of Cards
1 Split Deck & Flip
Split deck evenly. Both flip top card.
Black = Positive (+)
Red = Negative (−) (A=1, J/Q/K=10).
2 Higher Integer Wins
The greater integer takes both cards and puts them in their win pile! (Use number line below).
3 Tie = WAR!
Same card value? Put 3 cards face down, flip the 4th! Higher integer takes all 10 cards! Most cards wins!
← LESS (Negative / Red Cards) Center Zero (0) GREATER (Positive / Black Cards) →
−10 −8 −6 −4 −2 0 +2 +4 +6 +8 +10
Rule of Thumb: Any Black card always beats any Red card! Between two Red cards, the one closest to 0 wins (e.g. −2 beats −9).
⚔️ The Battle Mat (Flip cards directly into your battle box)
Player 1 Flip Zone
Place Card Here Red = − | Black = +
My Won Pile on the Left 👈
Player 2 Flip Zone
Place Card Here Red = − | Black = +
👉 My Won Pile on the Right
💡 No writing required! When the deck is gone, count your won pile. Biggest stack wins! Page 2 • Integer Card War
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Cards Only Game Comparing Fractions • No Scorecard Needed!
Fraction Card Capture
Gear: 1 Deck of Cards (A–10)
1 Flip 2 Cards
Each player flips 2 cards. Smaller card goes on TOP (numerator), larger on BOTTOM (denominator).
2 Compare Fractions
Check the Benchmark Bar or cross-multiply upward. The player with the larger fraction wins!
3 Capture All 4 Cards!
Winner collects all 4 cards into their stack. If fractions are equal, flip 2 more for a mega-war!
⚡ Quick Check: Is it bigger than \( \frac{1}{2} \)? Cross-Multiply: Multiply diagonals upward!
Less than \( \frac{1}{2} \) Top is less than half bottom: \( \frac{2}{6}, \frac{3}{8} \)
Exactly \( \frac{1}{2} \) Top is exactly half bottom: \( \frac{3}{6}, \frac{5}{10} \)
Greater than \( \frac{1}{2} \) Top is more than half bottom: \( \frac{4}{5}, \frac{7}{8} \)
🃏 The Fraction Placement Mats (Place your 2 cards directly here)
Player 1 Fraction
Card 1 NUMERATOR (Top)
Card 2 DENOMINATOR (Bottom)
Player 2 Fraction
Card 1 NUMERATOR (Top)
Card 2 DENOMINATOR (Bottom)
💡 Zero writing! When time is called, whoever has captured the most cards wins the game! Page 3 • Fraction Card Capture
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6 Dice Game Decimals & Place Value • No Scorecard Needed!
Decimal Derby 20
Gear: 6 Dice (3 per player) + 2 Tokens
1 Roll 3 Dice
Roll your 3 dice. Pick 1 die for the Ones place and 1 die for the Tenths place (discard the 3rd).
2 Make Your Move
Example: Roll 5, 2, 4 \(\rightarrow\) Build 5.2 or 4.5. Move your token forward that many tenths / spaces!
3 Race to 20.0!
Move an eraser, coin, or shade with your marker on the track below. First racer to reach 20.0 wins the Derby!
The Decimal Derby Track (Place tokens at 0.0)
Racer 1: Coin / Red Racer 2: Eraser / Blue
START 0.0
1.0
2.0
3.0
4.0
5.0 ⭐
▼ DRIFT RIGHT TO LEFT
10.0 ⭐
9.0
8.0
7.0
6.0
▼ TURN CORNER
11.0
12.0
13.0
14.0
15.0 ⭐
▼ FINAL STRETCH TO FINISH
16.0
17.0
18.0
19.0
🏁 FINISH 20.0 km
💡 Decimal Tip: \( 5.4 = 5 \) whole steps plus \( 4 \) tenths. Slide your token forward on the track! Page 4 • Decimal Derby 20
